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Scaling laws in granular flows down a rough plane B. Andreotti, A. Daerr, and S. Douady
 

Summary: Scaling laws in granular flows down a rough plane
B. Andreotti, A. Daerr, and S. Douady
Laboratoire de Physique Statistique de l'ENS, 24 rue Lhomond, 75231 Paris CEDEX 05, France
Received 20 July 2000; accepted 17 September 2001
The scaling properties of granular flows down an inclined plane are investigated in a model
previously proposed to describe surface flows on a sandpile. Introducing a depth dependent friction,
we are able to reproduce the results obtained experimentally by Pouliquen Phys. Fluids 11, 542
1999 ; 11, 1956 1999 on both the fronts velocities and their shapes. 2002 American Institute
of Physics. DOI: 10.1063/1.1416884
In two recent articles,1,2
Pouliquen has shown experi-
mentally that granular avalanches down an inclined plane
covered by glued beads exhibit a robust scaling law, valid for
various systems of beads and various plane roughness. This
scaling indicates that the only characteristic length scale is
the thickness Zstop( ) remaining when the flow stops Fig. 1
and Refs. 3, 4 . Despite its simplicity, this scaling has not yet
received any theoretical explanation.
The rheology is interpreted by Pouliquen1,2
as a flow in

  

Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara

 

Collections: Physics